Question

Como resolver essa equação?

Answer 1

$\frac{5^{4x - 12}}{5^{3x + 8}} = \frac{1}{125}\\\\ 5^{4x - 12 - (3x + 8)} = 5^{-3}\\\\ 5^{4x - 12 - 3x - 8} = 5^{-3}\\\\ 4x - 12 - 3x - 8 = -3\\\\ x - 20 = -3\\\\ \boxed{x = 17}$